Sandals  v0.0.0
A C++ library for ODEs/DAEs integration
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Sandals::SSPIRK33Tableau< Real > Class Template Reference

Butcher tableau for the 3-stage diagonally-implicit strong-stability preserving Runge-Kuttax order 3 method. More...

#include <SSPIRK33.hh>

Inherits Sandals::Tableau< Real, 3 >.

Public Member Functions

 SSPIRK33Tableau ()
Public Member Functions inherited from Sandals::Tableau< Real, 3 >
bool check (bool verbose=false) const

Additional Inherited Members

Public Types inherited from Sandals::Tableau< Real, 3 >
using Type
using Vector
using Matrix
Public Attributes inherited from Sandals::Tableau< Real, 3 >
const Real SQRT_EPSILON
std::string name
Type type
Integer order
Integer order_e
Matrix A
Vector b
Vector b_e
Vector c
bool is_embedded

Detailed Description

template<typename Real>
class Sandals::SSPIRK33Tableau< Real >

Butcher tableau for the 3-stage diagonally-implicit strong-stability preserving Runge-Kutta order 3 method:

\[\begin{array}{c|ccc} \frac{1}{2}-\frac{\sqrt{2}}{4} & \frac{1}{2}-\frac{\sqrt{2}}{4} & 0 & 0 \\ \frac{1}{2} & \frac{\sqrt{2}}{4} & \frac{1}{2}-\frac{\sqrt{2}}{4} & 0 \\ \frac{1}{2}+\frac{\sqrt{2}}{4} & \frac{\sqrt{2}}{4} & \frac{\sqrt{2}}{4} & \frac{1}{2}-\frac{\sqrt{2}}{4} \\ \hline & \frac{1}{3} & \frac{1}{3} & \frac{1}{3} \end{array} \text{.} \]

Template Parameters
RealThe scalar number type.

Constructor & Destructor Documentation

◆ SSPIRK33Tableau()

template<typename Real>
Sandals::SSPIRK33Tableau< Real >::SSPIRK33Tableau ( )
inline

Class constructor for the 3-stage diagonally-implicit strong-stability preserving Runge-Kutta order 3 method.


The documentation for this class was generated from the following file: